g^2+5g=266

Solution for g^2+5g=266 equation:

g^2+5g=266

We move all terms to the left:

g^2+5g-(266)=0

a = 1; b = 5; c = -266;
Δ = b2-4ac
Δ = 52-4·1·(-266)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-33}{2*1}=\frac{-38}{2}
=-19
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+33}{2*1}=\frac{28}{2}
=14
$